1,614 research outputs found

    A Test of Bell’s Inequality for the Undergraduate Laboratory

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    The thesis documents the work done over the year to initiate an undergraduate Advanced Laboratory experiment which tests Bell’s inequality. It provides reference theory for the experiment, including explanations of Bell inequalities, basics of nonlinear optics, type-I downconversion and entanglement, and polarization states of the entangled photons. A main result is the equipment and design proposal for the experiment, which will cost a total 19600,ledinpricebythe19600, led in price by the 9000 of a four photodetector array and followed by the 5000ofa405nmpumplaser.EntangledphotonsareproducedbypumpingBBOinatwo−crystalgeometry.Althoughmostofthelightistransmitted,someundergoestype−Iparametricdownconversion.Degeneratepairsareinatunableentangledstateandcanbeusedtoshownon−classicalbehavior.Specifically,aviolationoftheCHSHBellinequalitycanbeobserved.Usablecoincidenceratesofseveralthousandpersecondareexpected.Experimentalanddataanalysismethodsaredescribedasthebasisoffuturelaboratorydocumentation.Explanationsofequipmentalignmentandadjustmentanddatacollectionareincluded,aswellasderivationsofrelevantanalysesoftheexperimentaldata.Lastlythecoincidencecircuitbuiltfortheexperimentisreviewed.Thecircuitcostslessthan5000 of a 405nm pump laser. Entangled photons are produced by pumping BBO in a two-crystal geometry. Although most of the light is transmitted, some undergoes type-I parametric downconversion. Degenerate pairs are in a tunable entangled state and can be used to show non-classical behavior. Specifically, a violation of the CHSH Bell inequality can be observed. Usable coincidence rates of several thousand per second are expected. Experimental and data analysis methods are described as the basis of future laboratory documentation. Explanations of equipment alignment and adjustment and data collection are included, as well as derivations of relevant analyses of the experimental data. Lastly the coincidence circuit built for the experiment is reviewed. The circuit costs less than 40 to construct and demonstrates a coincidence window of between 18ns and 36ns

    A Test of Bell’s Inequality for the Undergraduate Laboratory

    Get PDF
    The thesis documents the work done over the year to initiate an undergraduate Advanced Laboratory experiment which tests Bell’s inequality. It provides reference theory for the experiment, including explanations of Bell inequalities, basics of nonlinear optics, type-I downconversion and entanglement, and polarization states of the entangled photons. A main result is the equipment and design proposal for the experiment, which will cost a total 19600,ledinpricebythe19600, led in price by the 9000 of a four photodetector array and followed by the 5000ofa405nmpumplaser.EntangledphotonsareproducedbypumpingBBOinatwo−crystalgeometry.Althoughmostofthelightistransmitted,someundergoestype−Iparametricdownconversion.Degeneratepairsareinatunableentangledstateandcanbeusedtoshownon−classicalbehavior.Specifically,aviolationoftheCHSHBellinequalitycanbeobserved.Usablecoincidenceratesofseveralthousandpersecondareexpected.Experimentalanddataanalysismethodsaredescribedasthebasisoffuturelaboratorydocumentation.Explanationsofequipmentalignmentandadjustmentanddatacollectionareincluded,aswellasderivationsofrelevantanalysesoftheexperimentaldata.Lastlythecoincidencecircuitbuiltfortheexperimentisreviewed.Thecircuitcostslessthan5000 of a 405nm pump laser. Entangled photons are produced by pumping BBO in a two-crystal geometry. Although most of the light is transmitted, some undergoes type-I parametric downconversion. Degenerate pairs are in a tunable entangled state and can be used to show non-classical behavior. Specifically, a violation of the CHSH Bell inequality can be observed. Usable coincidence rates of several thousand per second are expected. Experimental and data analysis methods are described as the basis of future laboratory documentation. Explanations of equipment alignment and adjustment and data collection are included, as well as derivations of relevant analyses of the experimental data. Lastly the coincidence circuit built for the experiment is reviewed. The circuit costs less than 40 to construct and demonstrates a coincidence window of between 18ns and 36ns

    Compressed representation of a partially defined integer function over multiple arguments

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    In OLAP (OnLine Analitical Processing) data are analysed in an n-dimensional cube. The cube may be represented as a partially defined function over n arguments. Considering that often the function is not defined everywhere, we ask: is there a known way of representing the function or the points in which it is defined, in a more compact manner than the trivial one

    Differential cross section measurements for the production of a W boson in association with jets in proton–proton collisions at √s = 7 TeV